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This paper studies the formation and evolution of binary supermassive black holes (SMBHs) in rotating galactic nuclei, focusing on the role of stellar dynamics. We present the first N-body simulations that follow the evolution of the SMBHs…

Astrophysics · Physics 2011-02-11 Ingo Berentzen , Miguel Preto , Peter Berczik , David Merritt , Rainer Spurzem

The Bel-Robinson tensor is analyzed as a linear map on the space of the traceless symmetric tensors. This study leads to an algebraic classification that refines the usual Petrov-Bel classification of the Weyl tensor. The new classes…

General Relativity and Quantum Cosmology · Physics 2009-08-05 Joan J. Ferrando , Juan A. Sáez

We study the double-copy relation between classical solutions in gauge theory and gravity, focusing on four-dimensional vacuum metrics of algebraic type D, a class that includes several important solutions. We present a double copy of…

High Energy Physics - Theory · Physics 2019-04-03 Andres Luna , Ricardo Monteiro , Isobel Nicholson , Donal O'Connell

Gravitational waves from comparable-mass binary-black-hole mergers are often described in terms of three stages: inspiral, merger and ringdown. Post-Newtonian and black-hole perturbation theories are used to model the inspiral and ringdown…

General Relativity and Quantum Cosmology · Physics 2025-11-14 Nur E. M. Rifat , David A. Nichols , Kent Yagi

This paper extends the research on the self-consistent effective-one-body theory of a real spinless two-body system based on the post-Minkowskian approximation (Science China, 65, 100411, (2022)) to the case of a binary system for the…

General Relativity and Quantum Cosmology · Physics 2024-09-26 Jiliang Jing , Weike Deng , Sheng Long , Jieci Wang

We present a comprehensive exploration of hierarchical triple black hole (BH) systems to address the "initial separation" problem in gravitational wave astrophysics. This problem arises because isolated BH binaries must have extremely small…

High Energy Astrophysical Phenomena · Physics 2025-08-06 M. Attia , Y. Sibony

Parameter estimation of binary-black-hole merger events in gravitational-wave data relies on matched-filtering techniques, which, in turn, depend on accurate model waveforms. Here we characterize the systematic biases introduced in…

General Relativity and Quantum Cosmology · Physics 2013-05-08 Tyson B. Littenberg , John G. Baker , Alessandra Buonanno , Bernard J. Kelly

We present a characteristic algorithm for computing the perturbations of a Schwarzschild spacetime by means of solving the Teukolsky equations. Our methods and results are expected to have direct bearing on the study of binary black holes…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Sascha Husa , Manuela Campanelli , Roberto Gomez , Jeffrey Winicour , Yosef Zlochower

We consider charged black holes with scalar hair obtained in a class of Einstein-Maxwell-scalar models, where the scalar field is coupled to the Maxwell invariant with a quartic coupling function. Besides the Reissner-Nordstr\"om black…

General Relativity and Quantum Cosmology · Physics 2020-11-04 Jose Luis Blázquez-Salcedo , Sarah Kahlen , Jutta Kunz

Perturbation theory of rotating black holes is described in terms of the Weyl scalars $\psi_4$ and $\psi_0$; each satisfying the Teukolsky's complex master wave equation with spin $s=\mp2$, and respectively representing outgoing and ingoing…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Carlos O. Lousto

The asymptotic nature of unbound binary-black-hole encounters provides a clean method for comparing different approaches for modeling the two-body problem in general relativity. In this work, we use numerical relativity simulations of…

General Relativity and Quantum Cosmology · Physics 2025-12-11 Oliver Long , Harald P. Pfeiffer , Lawrence E. Kidder , Mark A. Scheel

We introduce a systematic and direct procedure to generate hairy rotating black holes by deforming a spherically symmetric seed solution. We develop our analysis in the context of the gravitational decoupling approach, without resorting to…

General Relativity and Quantum Cosmology · Physics 2021-02-12 E. Contreras , J. Ovalle , R. Casadio

The no-hair theorem characterizes the fundamental nature of black holes in general relativity. This theorem can be tested observationally by measuring the mass and spin of a black hole as well as its quadrupole moment, which may deviate…

High Energy Astrophysical Phenomena · Physics 2016-08-24 Tim Johannsen

The mergers of massive black hole binaries could generate rich electromagnetic emissions, which allow us to probe the environments surrounding these massive black holes and gain deeper insights into the high energy astrophysics. However,…

General Relativity and Quantum Cosmology · Physics 2024-12-25 Yuxiang Xu , He Wang , Minghui Du , Bo Liang , Peng Xu

Binary black hole spacetimes with a helical Killing vector, which are discussed as an approximation for the early stage of a binary system, are studied in a projection formalism. In this setting the four dimensional Einstein equations are…

General Relativity and Quantum Cosmology · Physics 2009-11-10 C. Klein

We analyze numerically the existence of regular stationary rotating hairy black holes within the framework of general relativity, which are the result of solving the Einstein-Klein-Gordon system for a complex-valued scalar field under…

General Relativity and Quantum Cosmology · Physics 2023-05-10 Gustavo García , Eric Gourgoulhon , Philippe Grandclément , Marcelo Salgado

In this work, we re-examined the ancient complex metric in the recent quantum picture of black holes as Bose-Einstein condensates of gravitons. Both black holes and particles can be described by the complex Kerr-Newman metric in a 6-D…

General Physics · Physics 2019-08-27 Liangsuo Shu , Kaifeng Cui , Xiaokang Liu , Wei Liu

We present results from a new code for binary black hole evolutions using the moving-puncture approach, implementing finite differences in generalised coordinates, and allowing the spacetime to be covered with multiple communicating…

General Relativity and Quantum Cosmology · Physics 2011-03-23 Denis Pollney , Christian Reisswig , Erik Schnetter , Nils Dorband , Peter Diener

In this paper we construct four Kerr-like spacetimes starting from the loop black hole Schwarzschild solutions (LBH) and applying the Newman-Janis transformation. In previous papers the Schwarzschild LBH was obtained replacing the Ashtekar…

General Relativity and Quantum Cosmology · Physics 2010-12-06 Francesco Caravelli , Leonardo Modesto

We perform the first fully nonlinear numerical simulations of black-hole binaries with mass ratios 100:1. Our technique for evolving such extreme mass ratios is based on the moving puncture approach with a new gauge condition and an optimal…

General Relativity and Quantum Cosmology · Physics 2011-07-04 Carlos O. Lousto , Yosef Zlochower
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